Board denying approval on non existing ordinance

Prove it by quoting your HOA documents or the City ordinance. It may not appear as pleasing as originally thought it would look. Had a neighbor that had a pool. At one time a Rottweiler lived at the house that like to escape. There was a 4 foot chain link fence around their property. However, they also installed an additional wood privacy fence directly above the chain link fence in some areas. It was great for keeping the dog in and blocking the view of the pool. However, they did not install the panels for the wood fence until 4 feet up. Imagine a 4 foot chain link fence with an additional 6 foot privacy fence above it. It was NOT a good look.

This may be a similar case where what is on paper doesn't translate well to real world. The HOA is about appearances and consistency. If what you put up is out of the "norm" it could be considered an eye sore. You may want to draft up another plan that may look a bit better.

See:

What You Should Know about the Implied Duty of Good Faith and Fair Dealing from the American Bar Association.

My Problem is, it seems I and my neighbor has been targeted by the HOA
there are others how have done this and none have got any notice.

Can I sue the Board members? or it has to be the HOA?

You haven't even tried to file an appeal with the board on this and you're talking lawsuit already? Is there a reason you can't or refuse to take Melissa or Tim's suggestion?

I assume you've checked the city code and didn't find anything and your fence was approved by the city. However, you might want to keep reading your documents and perhaps check state law. Some state HOA legislation states if the community's CCRs are more stringent than local law or state law, the HOA rules trump them. This doesn't apply to everything - for example, federal fair housing laws trump everything.

Try sending a letter (maybe certified, so someone has to sign for it and get the return receipt requested card. Give the board 30 days to respond and also request an appeals hearing. If you hear nothing, then you can talk to a private attorney about your options. If you do need to sue (the association, not the board), don't forget to request reimbursement of your court costs and attorney fees if you win.

Finally, deal with your own business and let your neighbors deal with theirs - unless all of you have the same problem (fence approval). They can file their own appeal and if you all lose, you may be able to see if the reasons are consistent. If not, discuss what's next at that time.

Sounds like the addition is placed on a common area. If so, the board has wide discretion of what is placed on there.